If the roots of the equation `x^(3) + bx^(2) + cx + d = 0` are in arithmetic progression, then b, c and d satisfy the relation

If the roots of the cubic equation ax^(3)+bx^(2)+cx+d=0 are in G.P then

If the roots of the equation 10x^(3)-cx^(2)-54x-27=0 are in harmonic progression the value of c is

If the roots of the equation x^(3) + bx^(2) + cx - 1 = 0 form an increasing G.P., then b belongs to the interval

If a,b and c are in arithmetic progression, then the roots of the equation ax^(2)-2bx+c=0 are

If the roots of the equation x^(2)-bx+c=0 and x^(2)-cx+b=0 differ by the same quantity then b+c is equal to

If 1,2,3 and 4 are the roots of the equation x^(4)+ax^(3)+bx^(2)+cx+d=0, then a+2b+c=

If the roots of the equaion x^(4)-12x^(3)+cx^(2)+dx+81=0 are positive then the value of c is The value of d is.Roots of the equation 2cx+d=0 is

If one root of the equation x^(2)+ax+b=0 is a root of the equation x^(2)+cx+d=0, then the other root of the first equation satisfy the equation: